Let the numbers be x and 4x. So, according to the question,
x + 4x = 100
=> 5x = 100
=> x = 100/5
=> x = 20
So, the number are,
x = 20
and
4x = 4×20 = 80
So, the two numbers are 20 and 80.
5 divided by G1 equals
Answer:
5/g
Step-by-step explanation:
PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️
Use the figures to complete the statements proving the converse of the Pythagorean theorem.
Drag and drop a phrase, value, or equation into the box to correctly complete the proof.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
To prove the converse of the Pythagorean theorem, we can define a right triangle, Response area, with sides a, b, and x. Then, we will show that if △ABC is a triangle with sides a, b, and c where a² + b² = c², then it is congruent to △DEF and therefore a right triangle.
By the Pythagorean theorem, because △DEF is a right triangle, a² + b² = x².
If a² + b² = x² and a² + b² = c² , then c² = x². Further, since sides of triangles are positive, then we can conclude that c = x. Thus, the two triangles have congruent sides and are congruent.
If △ABC is congruent to a right triangle, then it must also be a right triangle.
To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.
\What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
ΔABC and ΔDEF
To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.
Thus,
ΔDEF is filled in the box.
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Graph the function n(x) = |x6|.
+Move Ray
-6
-4
-2
104
9
4
2
0
-2
Undo
2
4
Redo
6
x Reset
8
10
Answer:
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
Kenny loves to drink milk. He drinks 20 quarts of milk in 5 weeks. How many quarts of milk will Kenny drink in 12 weeks?
Answer:
32 mutipliy 20 and 5
Step-by-step explanation:
Help pleaseeeeeeeeeeee I’ll mark brainlist
Find the volume of a cylinder with diameter 8 and height 10
Find the volume of a cylinder with radius 7 and height 4
Find the volume of a cone with radius 18 and height 6
Find the volume of a cone with diamter 12 and height 8
Answer:
The volume of a cylinder with diameter 8 and height 10 is 502.65.
The volume of a cylinder with radius 7 and height 4 is 615.75.
The volume of a cone with radius 18 and height 6 is 2035.75.
The volume of a cone with diameter 12 and height 8 is 1206.37.
evaluate the following polynomial when x = - 3
+6x² – 3x+5
2x
Answer:
-93
Step-by-step explanation:
Substitute by - 3 instead of X
Can someone please help asap need work to
In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so RT= 10
Someone please help with this!
Answer:
27/1
Step-by-step explanation:
3³=3·3·3=27
27=27/1
Determine the value of x that make the equation true . 5 (x + 2) = 7 (4 - x)
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]5(x + 2) = 7(4 - x) \\ 5x + 10 = 28 - 7x \\ 5x + 7x = 28 - 10 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Which is 3 logx + 4 log(x-2) written as a single logarithm?
logx (x - 2)
logx(x-2)
b. 12 logx(x - 2)
d. 12 logx(x-2)
Answer:
The answer is [tex]12\log{(x(x-2))}[/tex]
Step-by-step explanation:
Exponential property of logarithm:
We have that:
[tex]a \log{x} = \log{x^{a}}[/tex]
Sum of logarithms:
We have that:
[tex]\log{a} + \log{b} = \log{ab}[/tex]
Applying the exponential property:
[tex]3\log{x} = \log{x^3}[/tex]
[tex]4\log{(x-2)} = \log{(x-2)^4}[/tex]
So
[tex]3\log{x} + 4\log{x-2} = \log{x^3} + \log{(x-2)^4}[/tex]
Additive property
[tex]\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}[/tex]
Exponential property:
[tex]\log{(x(x-2))^12} = 12\log{(x(x-2))}[/tex]
The answer is [tex]12\log{(x(x-2))}[/tex]
5 1/10-1 7/10=
A.3 3/5
B.6 4/5
C.3 2/5
D. 3 3/10
Two methods were used to teach a high school algebra course. A sample of 75 scores was selected for method 1, and a sample of 60 scores was selected for method 2. The results are:
Method 1 Method 2
Sample mean 85 83
Sample s.d. 3 2
Required:
Test whether method 1 was more successful than method 2 at the 1% level.
Answer:
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
Step-by-step explanation:
Applying two sample t test as both methods are independent
The null and alternate hypotheses are
H0: u1= u2 against the claim Ha: u1> u2
The significance level is 0.01 and the critical region is t > t∝( n-1)
The degrees of freedom is calculated using the formula
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
This formula is used when the the variances are unequal.
So as we do not know anything about variances we assume they are unequal.
The calculated degrees of freedom is 132
The critical region is t > 2.355 for one tailed test.
The test statistic is
t= x1`- x2`/ √s1²/n1 + s2²/n2
t= 85-83/ √3²/75+ 2²/60
t= 2/ 0.432
t= 4.629
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.
Answer:
Length = 10 Width = 5Step-by-step explanation:
Let's assume that,
→ Length = 2x
→ Width = x
→ Perimeter = 30
Perimeter of rectangle formula,
→ P = 2(L + W)
Now the value of x will be,
→ P = 2(L + W)
→ 2(2x + x) = 30
→ 2 × 3x = 30
→ 6x = 30
→ x = 30/6
→ [ x = 5 ]
Then required dimensions are,
→ Length = 2x = 2 × 5 = 10
→ Width = x = 5
Hence, these are the dimensions.
Length = 10
width = 5
Given-
Perimeter =30
l=2b........................................................ i
so
P =2(l+b)
here
30 = 2(2b +b)... ... .............. as l=2b from i
30 = 2*3b
30 = 6b
b= 5
which implies l= 2*5 --->10............................................ from i
so
Length = 10
width = 5
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find the volume of each figure
Answer:
1) 17.5×14×64
→ 1568 in³2) volume= 0.5×3.6×10×5=
→ 903) d= 13, r=13/2= 6.5, h= 19
→ v= πr²h→ π(6.5)²×19→ 2521.91 mm³4) Base Area= a+b/2×h
→ (37+15)/2×25.7 cm²→26×25.7 cm²→ 668.2 cm²height= 20cmvoulme = 668.2×20→ 13364 cm²5) L×W×H
→ 25×7×18→ 175×18→ 3150 ft³6) v=πr²h
→ π(3.2²)(8)→ 81.92π→ 257.36 km²[tex]------------[/tex]
hope it helps...
have a great day!!
[tex] \huge \boxed{1}[/tex]
→17.5 × 14 × 6.4
→1568 in³
[tex] \huge \boxed{2}[/tex]
→0.5 × 3.6 × 10 × 5
→90 m³
[tex] \huge \boxed{3}[/tex]
→ Diameter = 13 mm
→ Radius = 13/2 = 6.5
→ Height = 19 mm
→Volume => πr²h
=> 22/7 × (6.5)² × 19
=> 2521.91 mm³
[tex] \huge \boxed{4}[/tex]
→ Base Area → a+b/2×h
→ (37+15)/2×25.7 cm²
→26×25.7 cm²
→ 668.2 cm²
(height= 20cm)
→volume => 668.2×20
→13364 cm²
[tex] \huge \boxed{5}[/tex]
→Area→ L × B × H
→ 25×7×18
→ 175×18
→ 3150 ft³
[tex] \huge \boxed{6}[/tex]
→Volume → πr²h
→ π(3.2²)(8)
→ 81.92π
→ 257.36 km²
[tex] \boxed{Extra-Information}[/tex]
Always divide the diameter with 2 to get the radius.Volume is expressed in cube³ unit.[tex] \bold \green{TheExtraterrestrial}[/tex]
sam and bethan share £54 in the ration 5:4
Answer:
Let the common ratio b x thus the part becomes=5x and 4x respectivelyThus,ATQ5x+4x= 549x=54x= 6Sam will get is £30 (putting the value of x)and Bethan will get £24What is the distance, rounded to the nearest tenth, between the points (-2,4) and (6,-4)?
find the area of right angle triangle whose base 9, Height 8?
Answer:38cm2
Step-by-step explanation:
The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .
Base is 9 cm.
8 centimeters tall.
Triangle area equals 1/2 x base x height
Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.
Learn more about Area
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Andie is making bracelets. She will put 8 charms on each bracelet. There are 48 charms. How many bracelets can she make?
6 charms
6 bracelets
8 charms
6 bracelets
8 bracelets
Answer:
I'm pretty sure it would be 48 divided by 8 which would be 6
Step-by-step explanation:
Explain what the ratio 15:73 represents
Therefore , the solution of the given problem of ratio comes out to be 15:73 ratio simplified is 15/73.
What is ratio?A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).
Here,
To simplify the ratio 15:73, we find the greatest common divisor of 15 and 73, and then we divide 15 and 73 by the greatest common divisor.
The greatest common divisor that you can use to simplify 15:73 is 1. Which means the answer to ratio 15:73 simplified is:
Here is the math to illustrate better:
15/1 = 15 and 73/1 = 73
Thus, 15:73 ratio simplified is 15/73
Therefore , the solution of the given problem of ratio comes out to be 15:73 ratio simplified is 15/73.
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plz helpppppppppppppppppppppppppppppppppppp quick
Answer:
B. 8
Step-by-step explanation:
6, 15, 7, 5, 11, 11, 8
5, 6, 7, 8, 11, 11, 15
The middle number is 8.
Answer:
8
Step-by-step explanation:
Write two numbers that are opposites and more than 6 units away from 0.
Answer:
-7, 7
Step-by-step explanation:
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8) Hope that helps :)
Please help giving brainliest please
2 Images Below, PLEASE HELP! If I wanna go to Disneyland (I do) I gotta get this in! I MARK BRAINLIEST IF U R RIGHT!!!
Answer:
ITS B
Step-by-step explanation:
I hope im right srry if im not i hope you to disney and stay safe
How many times less
is 0.054 than 54?
Answer: 1000 times less
Step-by-step explanation: multiply 0.054x1000
Answer:
1000 times
Step-by-step explanation:
To find how many times less 0.054 is than 54,
we can divide 54 by 0.054.
This gives us 54/0.054 = 1000
This means that 0.054 is 1000 times less than 54.
please help me to solve this
Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
A mother is now 2 and ahalf times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.
Given:
A mother is now 2 and a half times old as her daughter Mary.
Four years ago the ratio of their ages was 3:1.
To find:
The present age of the mother.
Solution:
Let x be the present age Mary's mother and y be the present age of Mary.
A mother is now 2 and a half times old as her daughter Mary. So,
[tex]x=2\dfrac{1}{2}y[/tex]
[tex]\dfrac{x}{y}=\dfrac{2(2)+1}{2}[/tex]
[tex]\dfrac{x}{y}=\dfrac{5}{2}[/tex]
It means the ratio of their present age is 5:2. Let 5z be the present age of Mary's mother and 2z be the present age of Mary.
Four years ago the ratio of their ages was 3:1.
[tex]\dfrac{5z-4}{2z-4}=\dfrac{3}{1}[/tex]
[tex]1(5z-4)=3(2z-4)[/tex]
[tex]5z-4=6z-12[/tex]
[tex]-4+12=6z-5z[/tex]
[tex]8=z[/tex]
Now, the present age of the mother is:
[tex]5z=5(8)[/tex]
[tex]5z=40[/tex]
Therefore, the present age of the mother is 40 years.
Find the volume of the cone. Round your answer to the nearest tenth.
27 in.
16 in.
it is 17371.8 I put it into a calculator and got it haha
Worked Example:
Select all the expressions that have the same value as 4 1/2% of 50.
A. 0.045x50
B. 4.5%x50
C. 43%x50
D. 4.5x50
E. 0.45x50
F. 412x50
Answer:
Options A and B------------------------------------------
4 1/2% of 50 is 4.5% of 50 which is same as:
4.5% × 50or substituting % with 1/100,
4.5/100 × 50 = 0.045 × 50The matching choices are A and B.
HELP ASAP!!! I’m very confused and need help. I WILL MARK BRAINLIST!!!!
Step-by-step explanation:
In ∆PQR and ∆TSU
[tex]\because\begin{cases}PQ\approx TS \\ QR\approx TU \angle \\ Q\approx \angle T\end{cases}[/tex]
[tex]\therefore{∆PQR\approx ∆TSU(\because SAS)}[/tex]
And
<Q is greater than <TSo SU will be less than PR(22cm)